An electric motor lifts a load of weight $W$ through a vertical height $h$ in time $t$ - AQA - A-Level Physics - Question 27 - 2019 - Paper 1
Question 27
An electric motor lifts a load of weight $W$ through a vertical height $h$ in time $t$.
The potential difference across the motor is $V$ and the current through it i... show full transcript
Worked Solution & Example Answer:An electric motor lifts a load of weight $W$ through a vertical height $h$ in time $t$ - AQA - A-Level Physics - Question 27 - 2019 - Paper 1
Step 1
What is the efficiency of the motor?
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Answer
To determine the efficiency of the electric motor, we need to calculate the useful work done and the electrical energy supplied to the motor.
Calculate Useful Work Done: The work done by the motor in lifting the load is given by:
extWork=Wimesh
Calculate Electrical Energy Supplied: The electrical energy supplied to the motor can be calculated using the formula:
extEnergy=VimesIimest
Calculate Efficiency: The efficiency (extEfficiency) can be calculated as follows:
ext{Efficiency} = rac{ ext{Useful Work Done}}{ ext{Electrical Energy Supplied}} = rac{Wh}{VIt}
Thus, the efficiency of the motor is represented by the expression: rac{Wh}{VIt}.